My 3 1/2 year old goes to a daycare center, where all of the preschoolers nap, and he still does fall asleep and take a nap there. Unfortunately, his nap from daycare means he wont go to bed until 10-10:30pm, sometimes later! On the weekends, I don't put him down for a nap, and he generally is very happy to go to bed at 8:30-9pm and wake up around 7-7:30am. I've told the daycare he doesn't nap on the weekends, but I have not pushed it on them, because they have a classroom full of kids of different ages, and I know my son would be disruptive if he did not nap there.